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Finding the Fourth Proportional to 3,046.20, 4,574.36 and 1,899.24

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Solution

The fourth proportional to 3,046.20, 4,574.36 and 1,899.24 is: 2,852.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.20 : 4,574.36 = 1,899.24 : x
  2. Step 2: Convert to fraction form
    3,046.20/4,574.36 = 1,899.24/x
  3. Step 3: Cross multiply
    3,046.20x = 4,574.36 × 1,899.24
  4. Step 4: Simplify right side
    3,046.20x = 8,687,807.49
  5. Step 5: Solve for x
    x = 8,687,807.49/3,046.20
  6. Step 6: Final answer
    x = 2,852.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.